Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs Mohammad Januar Ismail Burhan (a*)- Yudi Soeharyadi (b)
a) Mathematics Study Program, Department of Mathematics and Technology Information, Institut Teknologi Kalimantan, Karang Joang, Balikpapan, 76127, Kalimantan Timur, Indonesia
b)Department of Mathematics, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Jl. Ganesha, 10, Bandung, 40132, Jawa Barat, Indonesia
Abstract
We study the conservation of energy of the linear wave equation on an equilateral quantum graph. We equipped the quantum graph with Dirichlet, Neumann-Kirchhoff, and Robin vertex conditions. We also show that the linear wave^s energy conservation remains relevant on the quantum graph. Moreover, our results are any properties of the conservation problem on the quantum graph and simulation that show the energy is conserved using the amplitude of the solution of linear wave equations on each edge.
Keywords: Linear Wave Equations- Conservation of Energy- Quantum Graphs
